Geodesic
Second-Order Asymptotic Directions of Unbounded Sets with Application to Optimization
Journal of convex analysis, Tome 18 (2011) no. 1, pp. 181-202

Voir la notice de l'article provenant de la source Heldermann Verlag

We introduce a new concept of second-order asymptotic directions of unbounded sets and apply it to establish global optimality conditions of nonlinear functions on unbounded sets, existence conditions for efficient points in a partially ordered space, and to extend Dieudonné's theorem on the closedness of the sum of two closed sets.
Classification : 90C30, 90C29, 49J52
Mots-clés : First-order and second-order asymptotic directions; optimality conditions; efficient points 
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     author = {N. Hadjisavvas and D. T. Luc},
     title = {Second-Order {Asymptotic} {Directions} of {Unbounded} {Sets} with {Application} to {Optimization}},
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     pages = {181--202},
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     year = {2011},
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N. Hadjisavvas; D. T. Luc. Second-Order Asymptotic Directions of Unbounded Sets with Application to Optimization. Journal of convex analysis, Tome 18 (2011) no. 1, pp. 181-202. http://geodesic.mathdoc.fr/item/JCA_2011_18_1_JCA_2011_18_1_a9/